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Finding the Fourth Proportional to 236.29, 326.07 and 138.06

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Solution

The fourth proportional to 236.29, 326.07 and 138.06 is: 190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.29 : 326.07 = 138.06 : x
  2. Step 2: Convert to fraction form
    236.29/326.07 = 138.06/x
  3. Step 3: Cross multiply
    236.29x = 326.07 × 138.06
  4. Step 4: Simplify right side
    236.29x = 45,015.59
  5. Step 5: Solve for x
    x = 45,015.59/236.29
  6. Step 6: Final answer
    x = 190.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.